2166441984 has 384 divisors, whose sum is σ = 7626528000. Its totient is φ = 594542592.

The previous prime is 2166441943. The next prime is 2166442001. The reversal of 2166441984 is 4891446612.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11224992 + ... + 11225184.

It is an arithmetic number, because the mean of its divisors is an integer number (19860750).

Almost surely, 2^2166441984 is an apocalyptic number.

2166441984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813264000).

2166441984 is an abundant number, since it is smaller than the sum of its proper divisors (5460086016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2166441984 is a wasteful number, since it uses less digits than its factorization.

2166441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2166441984 is about 46545.0532709976. The cubic root of 2166441984 is about 1293.9446157975.

The spelling of 2166441984 in words is "two billion, one hundred sixty-six million, four hundred forty-one thousand, nine hundred eighty-four".